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Finding the Third Proportional to 6,838,400 and 10,828,440

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Solution

The third proportional to 6,838,400 and 10,828,440 is: 17,146,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,400 : 10,828,440 = 10,828,440 : x
  2. Step 2: Convert to fraction form
    6,838,400/10,828,440 = 10,828,440/x
  3. Step 3: Cross multiply
    6,838,400x = 10,828,440 × 10,828,440
  4. Step 4: Simplify right side
    6,838,400x = 117,255,112,833,600
  5. Step 5: Solve for x
    x = 117,255,112,833,600/6,838,400
  6. Step 6: Final answer
    x = 17,146,571.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.